Spectral triples and manifolds with boundary

Details Spectral triples and manifolds with boundary Spectral triples and manifolds with boundary

2010-01-22

arxiv.org/abs/1001.3927v2

Physics

Mathematical Physics

18 pages To appear in J. Funct. Anal

Scientific paper

10.1016/j.jfa.2010.09.006

We investigate manifolds with boundary in noncommutative geometry. Spectral
triples associated to a symmetric differential operator and a local boundary
condition are constructed. For a classical Dirac operator with a chiral
boundary condition, we show that there is no tadpole.

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